Using the table of Motor Vehicle Deaths given below, find the Motor Vehicle Deaths per capita for Ohio

as a decimal correctly rounded to 8 places

Express the value typed in 'part a' in scientific notation. (Do not round.)

Type your answer as though you were typing it into your calculator--either with "E" or "x10^" notation-- no spaces in your answer!

State MV Deaths Population
Indiana 693 6 million
Illinois 911 12.4 million
Ohio 1021 11.35 million
Michigan 871 9.9 million
Alaska 64 0.63 million

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

For more such questions on parking cost

https://brainly.com/question/18091509

#SPJ8

The given statement defines a function F(x) that associates a unique ordinal number α to each initial segment of a well-ordered set W. The function F(x) assigns the ordinal α to the initial segment of W determined by x if and only if α is isomorphic (structurally equivalent) to that initial segment.

To prove the uniqueness of the ordinal number associated with each initial segment, we rely on Lemma 2.7 (presumably mentioned earlier). This lemma likely establishes some properties of isomorphic well-ordered sets, such as uniqueness of isomorphisms or a specific correspondence between ordinals and well-ordered sets.

Using the Replacement Axioms, we can show that the set F(W) exists, as it is obtained by applying the function F to each element of W and collecting the results as a set.

For each initial segment of W, there exists an ordinal α that is isomorphic to that segment; otherwise, we can consider the least element r for which no such ordinal exists. By definition, F(r) does not have a well-defined value, contradicting the construction of F.

Finally, if y is the least element in the set F(W), then F(W) = y, and we have established an isomorphism between W and the ordinal y.

In summary, the proof demonstrates that for any well-ordered set W, there exists a unique ordinal number (denoted by F(W)) that is isomorphic to W, confirming the statement that every well-ordered set is isomorphic to a unique ordinal number.

For more such questions on ordinal number

https://brainly.com/question/30954769

#SPJ8

GDP measures our ability to obtain many of the inputs into a worthwhile existence but does not directly measure the things that make life valuable.

GDP accounts for both total income and total expenditure on goods and services in the economy. Thus, GDP per person tells us about the average person's income and expenditure in the economy. Because most people would prefer to have a higher income and spend more money, The average person's GDP per person appears to be a straightforward indicator of their financial security.

People want to know whether an economy's total output of goods and services is increasing or decreasing. However, because GDP is collected at current, or nominal, prices, it is impossible to compare two periods without accounting for inflation.

To calculate "real" GDP, the nominal value must be adjusted to account for price changes, allowing us to see whether the value of output has increased because more is produced or simply because prices have risen.

To learn more about GDP refer :

brainly.com/question/1383956

#SPJ1

Elise's number is 38.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

If you subtract 17 from my number and multiply the difference by negative 6​, the result is negative 126​.

let the number be x

So, the equation can be

-6(x- 17) = -126

Now, solving for x

Divide by -6

x-17= 21

Add 17 both side

x- 17+ 17 = 21 + 17

x= 38

Hence, Elise's number is 38.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ5

Answer:

Step-by-step explanation:

The sum of exterior angles in a quadrilateral is always 360 degrees.

So, 2x+x+4x+3x=10x=360

Soling for x, we get x=36 degrees.

Ans4863

Step-by-step explanation:

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

for such more question on cost

https://brainly.com/question/25109150

#SPJ8

The cosine function graphed in this problem is given as follows:

D. y = 3cos(2(x + π/3)).

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)).

For which the parameters are given as follows:

The function varies between -3 and 3, hence the amplitude is given as follows:

A = 3.

The coefficient B is given as follows:

B = 2.

The vertical shift is given as follows:

C = -π/3.

Hence the function is:

D. y = 3cos(2(x + π/3)).

More can be learned about trigonometric functions at brainly.com/question/21558626

#SPJ1

Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.

To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:

0.25 + 0.125 = 0.375

This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:

0.375 x 200 = 75

Learn more about probability at: https://brainly.com/question/24756209

#SPJ1

Answer:

Yg skg sms skg skg eksklusif

Answer:

The answer is 8 :)

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

Learn more about Isosceles Trapezoid Angle Measure here:

https://brainly.com/question/32850813

#SPJ11

The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

Learn more about weight:https://brainly.com/question/31659519

#SPJ1

A) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

Read more about Congruent Triangles at: https://brainly.com/question/1675117

#SPJ1

Answer:

Step-by-step expA) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

How to solve congruent triangles?

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

lanation:

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

To know more abut Parabola .

https://brainly.com/question/21414275

#SPJ11

Answer:

\(59/140\)

Step-by-step explanation:

Answer:

\(\frac{59}{140}\)

Step-by-step explanation:

\(\frac{5}{14} = \frac{50}{140}\)

\(\frac{1}{10} = \frac{14}{140}\)

\(\frac{1}{28} = \frac{5}{140}\)

\(\frac{50}{140} +\frac{14}{140} -\frac{5}{140} = \frac{64}{140} - \frac{5}{140} = \frac{59}{140}\)

¡Espero que esto ayude!

Answer:

Step-by-step explanation:

What this formula says is that the external segment of the secant * the secant's entire length = the tangent squared

16

(x+2)^2 = 18(18 + 14)                 Add what is inside the brackets

(x +2)^2 = 18 * 32                     Combine the right

(x + 2)^2 = 576                         Take the square root of both sides

√(x + 2)^2 = √576

x + 2 = 24                                  Subtract 2 from both sides

x = 24 - 2

x = 22

I don't think you can use the minus value here.

14

Two secant theorem

The two secant theorem has both the left and right set up as having brackets.

8(19 + 8) = (x + 4)(3x + x+4)                Simplify the right and left

8(27) = (x + 4)(4x + 4)                          Remove the right and left brackets

216 = 4(x + 4)( x + 1)                             Expand the right

216 = 4 (x^2 + 5x + 4)                           Divide both sides by 4

54 = x^2 + 5x + 4                                  Subtract 54 from both sides

x^2 + 5x - 50                                         Combine the left

x^2 + 5x - 50 = 0                                 Factor

(x + 10)(x - 5) = 0

I think the only usable factor is x - 5 = 0

x = 5

2-60-14

Answer-72 that's the answer

At the given point,

\(f(5,0) = \dfrac1{\sqrt{5^2 + 0^2 - 9}} = \dfrac1{\sqrt{16}} = \dfrac14\)

Then the level curve is

\(\dfrac1{\sqrt{x^2 + y^2 - 9}} = \dfrac14 \\\\ \implies \sqrt{x^2 + y^2 - 9} = 4 \\\\ \implies x^2 + y^2 - 9 = 4^2 \\\\ \implies x^2 + y^2 = 25 = 5^2\)

which is a circle centered at the origin with radius 5 - quite easy to sketch.

By estimation, 3.9 turns into 4 and 5.3 turns into 5. The answer after estimation is 20 while the real answer is 20.67. Well u see by estimation we get an answer of two places right. So, real answer should also have two places.Place the decimal point after it.y43

Step-by-step explanation: i dont know if I'm right or not

Answer: Therefore we can conclude that the given number 1340000 in scientific notation can be written as 1.34×106.

According to the probability distribution represented by the histogram, the value of E(x) is 39/16

For a probability distribution, we have:

\(\sum P(x)= 1\)

This means that:

P(0) + P(1) + P(2) + P(3) +P(4) = 1

Using the values on the histogram, we have:

0 + 1/4 + 1/8 + P(3) + 1/16 = 1

Multiply through by 16

4 + 2 + 16P(3) + 1 = 16

Evaluate the like terms

16P(3) = 9

Divide both sides by 16

P(3) = 9/16

Hence, the value of P(X = 3) is 9/16

This is calculated using:

P(X < 3) = P(0) + P(1) + P(2)

Using the values on the histogram, we have:

P(X < 3) = 0 + 1/4 + 1/8

Evaluate

P(X < 3) = 3/8

Hence, the value of P(X < 3) is 3/8

This is calculated using:

P(1 ≤ X ≤ 4) = P(1) + P(2) + P(3) + P(4)

Using the values on the histogram, we have:

P(1 ≤ X ≤ 4) = 1/4 + 1/8 + 9/16 + 1/16

Evaluate

P(1 ≤ X ≤ 4) = 16/16

Simplify

P(1 ≤ X ≤ 4) = 1

Hence, the value of P(1 ≤ X ≤ 4) is 1

This is calculated using:

\(E(x) = \sum x \times P(x)\)

Using the values on the histogram, we have:

E(x) = 0 * 0 + 1 * 1/4 + 2 * 1/8 + 3 * 9/16 + 4 * 1/16

Evaluate

E(x) = 39/16

Hence, the value of E(x) is 39/16

Read more about probability distribution at:

https://brainly.com/question/24756209

#SPJ1

Answer:

a. 7

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

y - (x - z)

x = -4

y = 5

z = -2

Step 2: Substitute and Evaluate

5 - (-4 - (-2))

5 - (-4 + 2)

5 - (-2)

5 + 2

7

Answer:

A. 7

Step-by-step explanation:

I hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

y = -400

Step-by-step explanation:

y = 350 - 25(x)​

Let x = 30

y = 350 - 25*30

y = 350 - 750

y = -400

The dimensions of the rectangle are 4 ft by 5 ft.

Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.

For more such questions on rectangle

https://brainly.com/question/28049884

#SPJ8

Answer:

14 units

Step-by-step explanation:

The area of a parallelogram is

A = bh

140 = b*10

Divide each side by 10

140/10 = 10b/10

14 =b

Answer:

x>4

Step-by-step explanation:

what you would do first is move the 7 to the other side of the sign and do 11-7 which equals 4. Next since x has no number with it and it is positive you would do 4 divided by 1 which means x is greater than 4. Thus your answer is x>4

9514 1404 393

Answer:

  x > 4

Step-by-step explanation:

Step 1. Locate the variable.

  It is on the left side only.

Step 2. Identify any other terms on the same side of the equation as the variable.

 +7 is a term there

Step 3. Add the opposite of that term to both sides of the inequality. (This is the "work." The previous two steps are observation: looking to see what you are working with. You should always start by doing that.)

  x +7 -7 > 11 -7

  x > 4 . . . . . . . . . . simplify (collect terms)

The solution is x > 4.

_____

Additional comment

This is a "one-step" inequality, because all we had to do was add -7. If there is a coefficient on the variable, it is a 2-step inequality. If there are variables on both sides of the comparison symbol, then more steps may be required.